Finding the Fourth Proportional to 1,287.82, 1,930.56 and 465.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.82 : 1,930.56 = 465.52 : x
2. Step 2: Convert to fraction form
   1,287.82/1,930.56 = 465.52/x
3. Step 3: Cross multiply
   1,287.82x = 1,930.56 × 465.52
4. Step 4: Simplify right side
   1,287.82x = 898,714.29
5. Step 5: Solve for x
   x = 898,714.29/1,287.82
6. Step 6: Final answer
   x = 697.86